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Finding the Third Proportional to 190,485 and 284,793

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Solution

The third proportional to 190,485 and 284,793 is: 425,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,485 : 284,793 = 284,793 : x
  2. Step 2: Convert to fraction form
    190,485/284,793 = 284,793/x
  3. Step 3: Cross multiply
    190,485x = 284,793 × 284,793
  4. Step 4: Simplify right side
    190,485x = 81,107,052,849
  5. Step 5: Solve for x
    x = 81,107,052,849/190,485
  6. Step 6: Final answer
    x = 425,792.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.